publication . Article . Preprint . 1995

Muon transverse ionization cooling: Stochastic approach

Richard C. Fernow; Juan C. Gallardo;
Open Access
  • Published: 30 Mar 1995 Journal: Physical Review E, volume 52, pages 1,039-1,042 (issn: 1063-651X, eissn: 1095-3787, Copyright policy)
  • Publisher: American Physical Society (APS)
Transverse ionization cooling of muons is modeled as a Brownian motion of the muon beam as it traverses a Li or Be rod. A Langevin like equation is written for the free particle case (no external transverse magnetic field) and for the case of a harmonically bound beam in the presence of a focusing magnetic field. We demonstrate that the well known muon cooling equations for short-absorbers can be extrapolated to the useful case of a long absorber rod with a focusing magnetic field present.
arXiv: Physics::Accelerator Physics
free text keywords: Physics - Accelerator Physics, Magnetic field, Transverse plane, Computational physics, Physics, Fokker–Planck equation, Ionization, Beam (structure), Quantum electrodynamics, Muon, Ionization cooling, Beam emittance

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